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4 more than twice a number is the same as 4 less than 4 times a number find the number

User Andrew Stephens
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1 Answer

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So we translate the expression:

"4 more than twice a number is the same as 4 less than 4 times a number"

by using "x" to replace the unknown number with a letter in our algebraic form.

Notice that "4 more than twice a number", in such case can be written as:

2 x + 4 (twice the unknown number plus 4)

and the phrase "4 less than 4 times the number" is the same as:

4 x - 4 (we subtract 4 to 4 times the unknown number).

Then we write the equation that equals these two phrase because we are told they are the same matematically:

2 x + 4 = 4 x - 4

and we solve for our unknown x by grouping all terms in x on the right and all numerical terms on the left:

4 + 4 = 4 x - 2 x

8 = 2 x

8/2 = x

x = 4

User Relekang
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